The cut sets, decomposition theorems and representation theorems on intuitionistic fuzzy sets and interval valued fuzzy sets
type: Item
instance of: scholarly article
title: The cut sets, decomposition theorems and representation theorems on intuitionistic fuzzy sets and interval valued fuzzy sets
zbMATH Open document ID: 1222.03059
author: Hongxing Li
author: Xuehai Yuan
author: Kaibiao Sun
publication date: 2011-06-17T00:00:00Z
full work available at URL: s11432-010-4078-6
review text: The definition of the concept of cut set of an intuitionistic fuzzy set and an interval-valued fuzzy set is introduced, and some decomposition and representation theorems are formulated and proved. The paper contains some new ideas, but it seems that in some cases the authors ignore the research of their colleagues done throughout the last 25 years on the same topics.
reviewed by: Krassimir Atanassov
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 5909040
zbMATH Keywords: intuitionistic fuzzy sets
zbMATH Keywords: interval-valued fuzzy sets
zbMATH Keywords: triple-valued fuzzy sets
zbMATH Keywords: cut sets
zbMATH Keywords: decomposition theorem
zbMATH Keywords: representation theorem
MaRDI profile type: Publication
OpenAlex ID: W1979071538
cites work: Fuzzy sets
cites work: Fuzzy group theory.
cites work: Measure of a fuzzy set. The \(\alpha\)-cut approach in the finite case
cites work: Level sets and minimum volume sets of probability density functions.
cites work: Lebesgue measure of \(\alpha\)-cuts approach for finding the height of the membership function
cites work: Fuzzy mathematical programming. Methods and applications
cites work: On the representation of fuzzy rules in terms of crisp rules
cites work: Representation of compositional relations in fuzzy reasoning
cites work: Some new kinds of cut sets and their applications
cites work: Intuitionistic fuzzy sets
cites work: Outline of a New Approach to the Analysis of Complex Systems and Decision Processes
cites work: Intuitionistic fuzzy sets and \(L\)-fuzzy sets
cites work: Q5486808
cites work: Q3610540
cites work: Q5694760
cites work: Q5694768
cites work: Q5455993
DOI: 10.1007/S11432-010-4078-6
published in: Science China Information Sciences
description: scientific article; zbMATH DE number 5909040